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Finding the Fourth Proportional to 7,562.36, 10,435.46 and 4,204.97

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Solution

The fourth proportional to 7,562.36, 10,435.46 and 4,204.97 is: 5,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.36 : 10,435.46 = 4,204.97 : x
  2. Step 2: Convert to fraction form
    7,562.36/10,435.46 = 4,204.97/x
  3. Step 3: Cross multiply
    7,562.36x = 10,435.46 × 4,204.97
  4. Step 4: Simplify right side
    7,562.36x = 43,880,723.03
  5. Step 5: Solve for x
    x = 43,880,723.03/7,562.36
  6. Step 6: Final answer
    x = 5,802.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.